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Finding the Fourth Proportional to 214.44, 295.38 and 148.83

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Solution

The fourth proportional to 214.44, 295.38 and 148.83 is: 205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 295.38 = 148.83 : x
  2. Step 2: Convert to fraction form
    214.44/295.38 = 148.83/x
  3. Step 3: Cross multiply
    214.44x = 295.38 × 148.83
  4. Step 4: Simplify right side
    214.44x = 43,961.41
  5. Step 5: Solve for x
    x = 43,961.41/214.44
  6. Step 6: Final answer
    x = 205.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.